Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of inflection, and asymptotes. (If an answer does not exist, enter DNE.) x² + 3 y = x2 - 16

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 15T
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Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of inflection, and asymptotes. (If an answer does not exist, enter DNE.)
x2
y =
x2 - 16
+ 3
intercept
(х, у)
)
relative minimum
(х, у)
DNE
(х, у) -
3
0,
relative maximum
-
=
16
point of inflection
(х, у) 3
DNE
Find the equations of the asymptotes. (Enter your answers as a comma-separated list of equations.)
x = 4, – 4 y= 1 x
Transcribed Image Text:Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of inflection, and asymptotes. (If an answer does not exist, enter DNE.) x2 y = x2 - 16 + 3 intercept (х, у) ) relative minimum (х, у) DNE (х, у) - 3 0, relative maximum - = 16 point of inflection (х, у) 3 DNE Find the equations of the asymptotes. (Enter your answers as a comma-separated list of equations.) x = 4, – 4 y= 1 x
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